19158828480 has 448 divisors, whose sum is σ = 74176128000. Its totient is φ = 4616663040.

The previous prime is 19158828473. The next prime is 19158828499. The reversal of 19158828480 is 8482885191.

19158828480 is a `hidden beast` number, since 1 + 9 + 158 + 8 + 2 + 8 + 480 = 666.

It is a super-2 number, since 2×19158828480² (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 18912454 + ... + 18913466.

Almost surely, 2^19158828480 is an apocalyptic number.

19158828480 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 19158828480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (37088064000).

19158828480 is an abundant number, since it is smaller than the sum of its proper divisors (55017299520).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

19158828480 is a wasteful number, since it uses less digits than its factorization.

19158828480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1249 (or 1233 counting only the distinct ones).

The product of its (nonzero) digits is 1474560, while the sum is 54.

The spelling of 19158828480 in words is "nineteen billion, one hundred fifty-eight million, eight hundred twenty-eight thousand, four hundred eighty".